# Bachelor of Arts in Economics and Mathematics

The interdepartmental major in economics and mathematics is designed to enable students to model economic questions mathematically and to analyze and solve those models.

## Requirements

**Economics courses.****Fundamentals of Economics I.**One (1) course:- ECON-B 251 Fundamentals of Economics for Business I
- ECON-E 251 Fundamentals of Economics I
- ECON-S 251 Fundamentals of Economics for Business I: Honors

# ECON-B 251 Fundamentals of Economics for Business I

- Credits
- 3
- Prerequisites
- None
- Description
- First course in a two-course sequence that introduces business students to essential economic concepts. Examines the economic notions of cost and gains from trade, determinants of economic growth, consumer and firm behavior in competitive and non-competitive environments, the effects of taxation, externalities, moral hazard and adverse selection, and basic game theory.
- Repeatability
- Credit given for only one of ECON-B 251 or ECON-E 251.

- Spring 2024CASE SHcourse

# ECON-E 251 Fundamentals of Economics I

- Credits
- 3
- Prerequisites
- None
- Description
- First course in a two-course sequence that lays the foundations for a solid understanding of economics. Examines the economic notions of cost and gains from trade, determinants of economic growth, consumer and firm behavior in competitive and non-competitive environments, the effects of taxation, externalities, moral hazard and adverse selection, and public policy applications.
- Repeatability
- Credit given for only one of ECON-E 251 or ECON-B 251.

- Spring 2024CASE SHcourse

# ECON-S 251 Fundamentals of Economics for Business I: Honors

- Credits
- 3
- Prerequisites
- Must be a Hutton Honors student
- Description
- First in a two-course sequence that introduces honors business students to essential economic concepts. Examines economic notions of cost and gains from trade, determinants of economic growth, consumer and firm behavior in competitive and non-competitive environments, effects of taxation, externalities, moral hazard and adverse selection, and basic game theory.
- Repeatability
- Credit given for only one of ECON-S 251, ECON-B 251, or ECON-E 251.

**Fundamentals of Economics II.**One (1) course:- ECON-B 252 Fundamentals of Economics for Business II
- ECON-E 252 Fundamentals of Economics II

# ECON-B 252 Fundamentals of Economics for Business II

- Credits
- 3
- Prerequisites
- ECON-B 251
- Description
- Continuation of Fundamental of Economics for Business I. After a review of the major types of markets, explores macroeconomic concepts, beginning with measurement and the National Income Accounts, and then moving to cycle fluctuations and performance of stock markets. Concludes with microeconomic and macroeconomic perspectives in two areas: labor markets and globalization will applications in business contexts.
- Repeatability
- Credit given for only one of ECON-B 252 or ECON-E 252.

- Spring 2024CASE SHcourse

# ECON-E 252 Fundamentals of Economics II

- Credits
- 3
- Prerequisites
- ECON-E 251 or ECON-B 251
- Description
- Continuation of Fundamental of Economics I. After a review of the major types of markets, explores macroeconomic concepts, beginning with measurement and the National Income Accounts, and then moving to cycle fluctuations and performance of stock markets. Concludes with microeconomic and macroeconomic perspectives in two areas: labor markets and globalization.
- Repeatability
- Credit given for only one of ECON-E 252 or ECON-B 252.

- Spring 2024CASE SHcourse

**Intermediate Microeconomic Theory.**One (1) course:- ECON-E 321 Intermediate Microeconomic Theory
- ECON-S 321 Intermediate Microeconomic Theory: Honors

# ECON-E 321 Intermediate Microeconomic Theory

- Credits
- 3
- Prerequisites
- ECON-B 251 or ECON-E 251; and MATH-J 113, MATH-M 119, MATH-V 119, MATH-M 211, or MATH-S 211
- Description
- Develops economic models of both consumer and firm behavior, including non-strategic and strategic interactions. Models of market structure and behavior focus on price and output determination and include circumstances in which markets may succeed or fail to deliver socially beneficial outcomes.
- Repeatability
- Credit given for only one of ECON-E 321 or ECON-S 321.

- Spring 2024CASE SHcourse

# ECON-S 321 Intermediate Microeconomic Theory: Honors

- Credits
- 3
- Prerequisites
- ECON-B 251 or ECON-E 251; and MATH-J 113, MATH-M 119, MATH-V 119, MATH-M 211, or MATH-S 211
- Description
- Designed for students of superior ability. Covers same core material as ECON-E 321.
- Repeatability
- Credit given for only one of ECON-E 321 or ECON-S 321.

- Spring 2024CASE SHcourse

**Intermediate Macroeconomic Theory.**One (1) course:- ECON-E 322 Intermediate Macroeconomic Theory
- ECON-S 322 Intermediate Macroeconomic Theory: Honors

# ECON-E 322 Intermediate Macroeconomic Theory

- Credits
- 3
- Prerequisites
- ECON-E 252 or ECON-B 252; and ECON-E 321 or ECON-S 321
- Description
- National income accounting; theory of income, employment, and price level. Countercyclical and other public policy measures.

- Spring 2024CASE SHcourse

# ECON-S 322 Intermediate Macroeconomic Theory: Honors

- Credits
- 3
- Prerequisites
- ECON-E 252 or ECON-B 252 and ECON-E 321 or ECON-S 321; Hutton Honors student
- Description
- Designed for students of superior ability. Covers same core material as ECON-E 322 and substitutes for ECON-E 322 as a prerequisite for other courses.
- Repeatability
- Credit given for only one of ECON-S 322 or ECON-E 322.

- Spring 2024CASE SHcourse

**Electives.****Advanced Electives.**Two (2) courses:- ECON-E 327 Game Theory
- ECON-E 331 International Trade
- ECON-E 332 International Monetary Economics
- ECON-E 337 Economic Development
- ECON-E 341 Economics of Labor Market
- ECON-E 344 Health Economics
- ECON-E 351 Law and Economics
- ECON-E 361 Public Finance: Government Spending
- ECON-E 362 Public Finance: Taxation
- ECON-E 364 Environment and Resource Economics
- ECON-E 371 Introduction to Applied Econometrics
- ECON-E 385 Economics of Industry
- ECON-E 386 Soviet-Type Economies in Transition
- ECON-E 390 Undergraduate Seminar in Economics
- ECON-E 392 Seminar in Computational Methods and Econometrics
- ECON-E 401 Machine Learning for Economic Data
- ECON-E 402 Computational Methods In Macroeconomics
- ECON-E 425 Financial Economics
- ECON-E 427 Seminar in Experimental Economics
- ECON-E 471 Econometric Theory and Practice I
- ECON-E 472 Econometric Theory and Practice II
- ECON-E 490 Advanced Undergraduate Seminar in Economics
- ECON-S 371 Introduction to Applied Econometrics: Honors
- ECON-X 398 Independent Research in Economics

# ECON-E 327 Game Theory

- Credits
- 3
- Prerequisites
- ECON-E 321 or ECON-S 321
- Description
- Mathematical analysis of strategic interaction. Noncooperative games played once or repeatedly, with perfect or imperfect information. Necessary condition for a solution (equilibrium) as well as sufficient conditions (refinements). Cooperative games, such as bargaining and market games. Numerous applications, including experimental games.

- Spring 2024CASE SHcourse

# ECON-E 331 International Trade

- Credits
- 3
- Prerequisites
- ECON-E 321 or ECON-S 321
- Notes
- Only 6 credit hours from ECON-E 303, ECON-E 331, and ECON-E 332 may be counted toward a major in economics
- Description
- Theories of trade pattern, positive and normative aspects of trade and trade-related policies in competitive and non-competitive markets; effects of trade liberalization and economic integration; trade policies by developed and developing nations; international factor movements.

# ECON-E 332 International Monetary Economics

- Credits
- 3
- Prerequisites
- ECON-E 321 or ECON-S 321
- Notes
- Only 6 credit hours from ECON-E 303, ECON-E 331, and ECON-E 332 may be counted toward a major in economics
- Description
- Theory of exchange rate and balance of payments adjustment, macroeconomic policy in open economies, history and comparison of international monetary systems, and proposals for reform.
- Repeatability
- Credit given for only one of ECON-E 332 and ECON-E 433.

# ECON-E 337 Economic Development

- Credits
- 3
- Prerequisites
- ECON-E 321 or ECON-S 321
- Description
- Characteristics of economically underdeveloped countries. Obstacles to sustained growth; planning and other policies for stimulating growth; examination of development problems and experience in particular countries.

# ECON-E 341 Economics of Labor Market

- Credits
- 3
- Prerequisites
- ECON-E 321 or ECON-S 321
- Notes
- R: ECON-E 370 or ECON-S 370
- Description
- Analysis of the functioning of labor markets with theoretical, empirical, and policy applications in determination of employment and wages in the U.S. economy.

# ECON-E 344 Health Economics

- Credits
- 3
- Prerequisites
- ECON-E 321 or ECON-S 321
- Notes
- R: ECON-E 370 or ECON-S 370
- Description
- Systematic introduction to health economics and economics of health care, emphasis on basic economic concepts such as supply and demand, production of health, information economics, choice under uncertainty, health insurance markets, Medicare and Medicaid, managed care, government intervention and regulation. Survey course with some topics in some depth.

# ECON-E 351 Law and Economics

- Credits
- 3
- Prerequisites
- ECON-E 321 or ECON-S 321
- Description
- Devoted to economic analysis of law, focusing on the economic efficiency of common law. Main components of the course are property law, contracts, and torts; some aspects of criminal law are also covered. Discussion is based mostly on examples, both invented and taken from actual cases.

# ECON-E 361 Public Finance: Government Spending

- Credits
- 3
- Prerequisites
- ECON-E 321 or ECON-S 321
- Notes
- Only 6 credit hours from ECON-E 308, ECON-E 361, and ECON-E 362 may be counted toward a major in economics
- Description
- Theory of public goods and externalities. Cost-benefit analysis. Public choice theory. Analysis of specific expenditure, transfer, and regulatory programs.

# ECON-E 362 Public Finance: Taxation

- Credits
- 3
- Prerequisites
- ECON-E 321 or ECON-S 321
- Notes
- Only 6 credit hours from ECON-E 308, ECON-E 361, and ECON-E 362 may be counted toward a major in economics
- Description
- U.S. tax structure, income redistribution effects, and efficiency in resource allocation. Use of welfare theory and microeconomic models to evaluate particular issues.

# ECON-E 364 Environment and Resource Economics

- Credits
- 3
- Prerequisites
- ECON-E 321 or ECON-S 321
- Description
- Basic theory of common property resources applied to environment and resource conservation problems. Topics include economic efficiency, equity, measurement problems, and policy formulation.

- Spring 2024CASE SHcourse

# ECON-E 371 Introduction to Applied Econometrics

- Credits
- 3
- Prerequisites
- ECON-E 251 or ECON-B 251; and ECON-E 370 or ECON-S 370; and MATH-J 113, MATH-M 119, MATH-V 119, MATH-M 211, or MATH-S 211
- Description
- An introduction to the theory and application of least-squares regression in empirical economics. Review of bivariate and multivariate regression models, hypothesis testing, and confidence intervals. Special topics include model specification, multicollinearity, heteroscedasticity, dummy variables, interactions, and various sources of estimation bias. Students will learn to work with both cross-sectional and time-series datasets, and analyze the data using an econometrics software package.
- Repeatability
- Credit given for only one of ECON-E 371 or ECON-S 371.

# ECON-E 385 Economics of Industry

- Credits
- 3
- Prerequisites
- ECON-E 321 or ECON-S 321
- Description
- Empirical analysis of market structure and behavior. Location, technology, economies of scale, vertical integration, conglomerates, barriers to entry, and competitive practices. Economic assessment of product performance and environmental impact.

# ECON-E 386 Soviet-Type Economies in Transition

- Credits
- 3
- Prerequisites
- ECON-E 321 or ECON-S 321
- Description
- Economic institutions, resource allocation mechanisms, incentives and decision-making in a Soviet-type economy; economics of transition to a market-oriented system. Particular attention is paid to price liberalization, development of the financial system, privatization of state-owned assets, opening to the world economy, and the role of private sector.
- Repeatability
- Credit given for only one of ECON-E 386 or ECON-E 497.

# ECON-E 390 Undergraduate Seminar in Economics

- Credits
- 3
- Prerequisites
- ECON-E 321 or ECON-S 321
- Notes
- Additional prerequisites may be required depending on the seminar topic
- Description
- Intensive study of a topic area in economics. Topics will vary.
- Repeatability
- May be repeated with a different topic for a maximum of 9 credit hours.

# ECON-E 392 Seminar in Computational Methods and Econometrics

- Credits
- 3
- Prerequisites
- ECON-E 321 or ECON-S 321; Additional prerequisites may be required depending on the seminar topic
- Description
- Intensive study of a topic area in computational methods or econometrics. Topics will vary.
- Repeatability
- May be repeated with a different topic for a maximum of 9 credit hours.

# ECON-E 401 Machine Learning for Economic Data

- Credits
- 3
- Prerequisites
- ECON-E 321 or ECON-S 321; and ECON-E 371 or ECON-S 371
- Description
- What is machine learning and how can we use it to help us explore economic data? This course develops exploratory data analysis skills and provides training in a variety of machine learning techniques used to analyze economic data while using the R programming language.

# ECON-E 402 Computational Methods In Macroeconomics

- Credits
- 3
- Prerequisites
- ECON-E 252 or ECON-B 252; and ECON-E 321 or ECON-S 321
- Description
- Macroeconomic data are increasingly available and used by economists and data scientists to help decision-makers. This course provides opportunities to develop tools to explore macroeconomic data, build and simulate macroeconomic models, perform experiments, and solve dynamic models using numeric methods. Also provides experience in the Python programming language.

# ECON-E 425 Financial Economics

- Credits
- 3
- Prerequisites
- ECON-E 321 or ECON-S 321; and ECON-E 370 or ECON-S 370
- Description
- Theory and empirical evidence relevant to understanding the functioning of modern financial-asset markets. Course topics may vary substantially by instructor. Some examples include: present value, analysis of risk and return, asset pricing, modern portfolio theory, equilibrium in asset markets, arbitrage pricing theory, the capital asset pricing model, the efficient markets hypothesis, price bubbles and crashes, futures markets, derivative securities and option pricing models.

# ECON-E 427 Seminar in Experimental Economics

- Credits
- 3
- Prerequisites
- ECON-E 321 or ECON-S 321; and ECON-E 370 or ECON-S 370; or consent of instructor
- Notes
- R: ECON-E 327
- Description
- Focuses on the use of laboratory experimental methods in applied microeconomics. Specific application areas will include the analysis of resource allocation mechanisms for both private and public goods and individual choice under uncertainty using both human and nonhuman subjects.

# ECON-E 471 Econometric Theory and Practice I

- Credits
- 3
- Prerequisites
- ECON-E 370, ECON-S 370, or MATH-M 365; and MATH-M 301, MATH-M 303, or MATH-S 303; and MATH-M 311 or MATH-S 311
- Notes
- Only 9 credit hours from ECON-E 371, ECON-S 371, ECON-E 471, and ECON-E 472 may be counted toward a major in economics
- Description
- Emphasis is on the classical linear regression model and its applications. Special topics include finite and asymptotic properties of least squares, hypothesis testing, model specification, dummy variables, proxies, multicollinearity and heteroscedasticity.

# ECON-E 472 Econometric Theory and Practice II

- Credits
- 3
- Prerequisites
- ECON-E 471
- Notes
- Only 9 credit hours from ECON-E 371, ECON-S 371, ECON-E 471, and ECON-E 472 may be counted toward a major in economics
- Description
- Emphasizes extensions of the classical linear-regression model such as: limited dependent variables, instrumental variables, stationary and nonstationary data, fixed-effect and random-effect models, multiple-equation models, censored regression, and sample selection.

# ECON-E 490 Advanced Undergraduate Seminar in Economics

- Credits
- 3
- Prerequisites
- ECON-E 321 or ECON-S 321
- Notes
- Additional prerequisites may be required depending on the seminar topic
- Description
- Advanced intensive study of a topic area in economics. Topics will vary.
- Repeatability
- May be repeated with different topics for a maximum of 9 credit hours.

# ECON-S 371 Introduction to Applied Econometrics: Honors

- Credits
- 3
- Prerequisites
- ECON-E 251 or ECON-B 251; and ECON-E 370 or ECON-S 370; and MATH-J 113, MATH-M 119, MATH-V 119, MATH-M 211, or MATH-S 211; and Hutton Honors Student
- Description
- Designed for students of superior ability. Covers same core material as ECON-E 371 and substitutes for ECON-E 371 as a prerequisite for other courses.
- Repeatability
- Credit given for only one of ECON-S 371 or ECON-E 371.

# ECON-X 398 Independent Research in Economics

- Credits
- 1
- Prerequisites
- ECON-E 322 or ECON-S 322; and ECON-E 370 or ECON-S 370; Economics majors or interdepartmental major (ECON/POLS or ECON/MATH); minimum 3.000 economics GPA.
- Notes
- Additional prerequisites may be required by the faculty mentor. A maximum of 3 credit hours in ECON-X 398 and ECON-E 391 may count toward the major in economics
- Description
- Independent readings and research by special arrangement with an economics faculty mentor and the director of undergraduate studies. A research paper or other substantial writing assignments are usually required.
- Repeatability
- Credit given for a maximum of 6 credit hours in ECON-X 398 and ECON-E 391.

**400–499 Level.**One (1) additional course:- ECON-E 401 Machine Learning for Economic Data
- ECON-E 402 Computational Methods In Macroeconomics
- ECON-E 425 Financial Economics
- ECON-E 427 Seminar in Experimental Economics
- ECON-E 471 Econometric Theory and Practice I
- ECON-E 472 Econometric Theory and Practice II
- ECON-E 490 Advanced Undergraduate Seminar in Economics
- ECON-E 499 Honors Thesis

# ECON-E 401 Machine Learning for Economic Data

- Credits
- 3
- Prerequisites
- ECON-E 321 or ECON-S 321; and ECON-E 371 or ECON-S 371
- Description
- What is machine learning and how can we use it to help us explore economic data? This course develops exploratory data analysis skills and provides training in a variety of machine learning techniques used to analyze economic data while using the R programming language.

# ECON-E 402 Computational Methods In Macroeconomics

- Credits
- 3
- Prerequisites
- ECON-E 252 or ECON-B 252; and ECON-E 321 or ECON-S 321
- Description
- Macroeconomic data are increasingly available and used by economists and data scientists to help decision-makers. This course provides opportunities to develop tools to explore macroeconomic data, build and simulate macroeconomic models, perform experiments, and solve dynamic models using numeric methods. Also provides experience in the Python programming language.

# ECON-E 425 Financial Economics

- Credits
- 3
- Prerequisites
- ECON-E 321 or ECON-S 321; and ECON-E 370 or ECON-S 370
- Description
- Theory and empirical evidence relevant to understanding the functioning of modern financial-asset markets. Course topics may vary substantially by instructor. Some examples include: present value, analysis of risk and return, asset pricing, modern portfolio theory, equilibrium in asset markets, arbitrage pricing theory, the capital asset pricing model, the efficient markets hypothesis, price bubbles and crashes, futures markets, derivative securities and option pricing models.

# ECON-E 427 Seminar in Experimental Economics

- Credits
- 3
- Prerequisites
- ECON-E 321 or ECON-S 321; and ECON-E 370 or ECON-S 370; or consent of instructor
- Notes
- R: ECON-E 327
- Description
- Focuses on the use of laboratory experimental methods in applied microeconomics. Specific application areas will include the analysis of resource allocation mechanisms for both private and public goods and individual choice under uncertainty using both human and nonhuman subjects.

# ECON-E 471 Econometric Theory and Practice I

- Credits
- 3
- Prerequisites
- ECON-E 370, ECON-S 370, or MATH-M 365; and MATH-M 301, MATH-M 303, or MATH-S 303; and MATH-M 311 or MATH-S 311
- Notes
- Only 9 credit hours from ECON-E 371, ECON-S 371, ECON-E 471, and ECON-E 472 may be counted toward a major in economics
- Description
- Emphasis is on the classical linear regression model and its applications. Special topics include finite and asymptotic properties of least squares, hypothesis testing, model specification, dummy variables, proxies, multicollinearity and heteroscedasticity.

# ECON-E 472 Econometric Theory and Practice II

- Credits
- 3
- Prerequisites
- ECON-E 471
- Notes
- Description
- Emphasizes extensions of the classical linear-regression model such as: limited dependent variables, instrumental variables, stationary and nonstationary data, fixed-effect and random-effect models, multiple-equation models, censored regression, and sample selection.

# ECON-E 490 Advanced Undergraduate Seminar in Economics

- Credits
- 3
- Prerequisites
- ECON-E 321 or ECON-S 321
- Notes
- Additional prerequisites may be required depending on the seminar topic
- Description
- Advanced intensive study of a topic area in economics. Topics will vary.
- Repeatability
- May be repeated with different topics for a maximum of 9 credit hours.

# ECON-E 499 Honors Thesis

- Credits
- 3
- Prerequisites
- ECON-E 322 or ECON-S 322; and ECON-E 370 or ECON-S 370; Economics majors or interdepartmental major (ECON/POLS or ECON/MATH); minimum 3.300 economics GPA
- Notes
- Additional prerequisites may be required by the faculty mentor. Honors course; A maximum of 3 credit hours in ECON-E 499 may count toward the major in economics
- Description
- Honors thesis research by special arrangement with an economics faculty mentor and the director of undergraduate studies.

**Mathematics courses.****Calculus I.**One (1) course:- MATH-M 211 Calculus I
- MATH-S 211 Honors Calculus I

# MATH-M 211 Calculus I

- Credits
- 4
- Prerequisites
- None
- Notes
- R: To be successful, students will demonstrate mastery of two years of high school algebra, one year of high school geometry, and pre-calculus, and trigonometry as indicated by an appropriate ALEKS score or completion of MATH-M 027
- Description
- Limits, continuity, derivatives, definite and indefinite integrals, applications.
- Repeatability
- A student may receive credit for only one of the following: MATH-J 113, MATH-M 119, MATH-V 119, MATH-M 211, or MATH-S 211.

- Spring 2024CASE MMcourse

- Spring 2024CASE NMcourse

# MATH-S 211 Honors Calculus I

- Credits
- 4
- Prerequisites
- Hutton Honors College membership or consent of department
- Notes
- R: To be successful, students will demonstrate mastery of two years of high school algebra, one year of high school geometry, and pre-calculus and trigonometry as indicated by an appropriate ALEKS score or completion of MATH-M 027
- Description
- Designed for students of outstanding ability, who are considering further study in mathematics. Limits, continuity, derivatives, definite and indefinite integrals, applications, with emphasis placed on theory.
- Repeatability
- Credit given for only one of MATH-J 113, MATH-M 119, MATH-M 211, MATH-S 211, or MATH-V 119.

- Spring 2024CASE MMcourse

- Spring 2024CASE NMcourse

**Calculus II.**One (1) course:- MATH-M 212 Calculus II
- MATH-S 212 Honors Calculus II

# MATH-M 212 Calculus II

- Credits
- 4
- Prerequisites
- MATH-M 211 or MATH-S 211; or consent of department
- Description
- Techniques of integration (by parts, trigonometric substitutions, partial fractions), improper integrals, volume, work, arc length, surface area, infinite series.
- Repeatability
- Credit given for only one of MATH-M 120 or MATH-M 212.

- Spring 2024CASE NMcourse

# MATH-S 212 Honors Calculus II

- Credits
- 4
- Prerequisites
- MATH-S 211 or consent of department
- Description
- Includes material of MATH-M 212 and supplemental topics. Designed for students of outstanding ability in mathematics.
- Repeatability
- Credit given for only one of MATH-M 120, MATH-M 212, or MATH-S 212.

- Spring 2024CASE NMcourse

**Linear Algebra.**One (1) course:- MATH-M 301 Linear Algebra and Applications
- MATH-M 303 Linear Algebra for Undergraduates
- MATH-S 303 Honors Course in Linear Algebra

# MATH-M 301 Linear Algebra and Applications

- Credits
- 3
- Prerequisites
- MATH-M 212, MATH-M 213, or MATH-S 212; or MATH-M 211 and CSCI-C 241; or MATH-S 211 and CSCI-C 241
- Description
- Solving systems of linear equations, matrix algebra, determinants, vector spaces, eigenvalues and eigenvectors. Selection of advanced topics. Applications throughout. Computer used for theory and applications.
- Repeatability
- Credit given for only one of MATH-M 301 or MATH-M 303.

- Spring 2024CASE NMcourse

# MATH-M 303 Linear Algebra for Undergraduates

- Credits
- 3
- Prerequisites
- MATH-M 212, MATH-M 213, or MATH-S 212; or MATH-M 211 and CSCI-C 241; or MATH-S 211 and CSCI-C 241
- Description
- Introduction to the theory of real vector spaces. Coordinate s, linear dependence, bases. Linear transformations and matrix calculus. Determinants and rank. Eigenvalues and eigenvectors.
- Repeatability
- Credit given for only one of MATH-M 301, MATH-M 303, or MATH-S 303.

- Spring 2024CASE NMcourse

# MATH-S 303 Honors Course in Linear Algebra

- Credits
- 3
- Prerequisites
- Consent of department
- Description
- Honors version of MATH-M 303. For students with unusual aptitude and motivation.
- Repeatability
- Not open to those who have had MATH-M 301 or MATH-M 303.

- Spring 2024CASE NMcourse

**Calculus III.**One (1) course:- MATH-M 311 Calculus III
- MATH-S 311 Honors Course in Calculus III

# MATH-M 311 Calculus III

- Credits
- 4
- Prerequisites
- MATH-M 212, MATH-M 213, or MATH-S 212
- Description
- Elementary geometry of 2, 3, and n-space; functions of several variables; partial differentiation; minimum and maximum problems; multiple integration.

- Spring 2024CASE NMcourse

# MATH-S 311 Honors Course in Calculus III

- Credits
- 4
- Prerequisites
- MATH-S 212 or consent of instructor; and MATH M-301, MATH M-303, or MATH S-303
- Description
- Honors version of MATH-M 311, covering geometry of 2, 3, and n-space; functions of several variables; partial differentiation; minimum and maximum problems; and multiple integration. For students with unusual aptitude and motivation.
- Repeatability
- Credit given for only one of MATH-M 311 or MATH-S 311.

- Spring 2024CASE NMcourse

**Mathematics Area.**One (1) course:- Analysis
- MATH-M 312 Calculus IV
- MATH-M 413 Introduction to Analysis I
- MATH-M 414 Introduction to Analysis II
- MATH-M 415 Elementary Complex Variables with Applications
- MATH-S 312 Honors Course in Calculus IV
- MATH-S 413 Honors Course in Analysis I
- MATH-S 414 Honors Course in Analysis II
- MATH-S 415 Honors Elementary Complex Variables
- MATH-M 420 Metric Space Topology

# MATH-M 312 Calculus IV

- Credits
- 3
- Prerequisites
- MATH-M 311 or MATH-S 311
- Description
- Differential calculus of vector-valued functions, transformation of coordinates, change of variables in multiple integrals. Vector integral calculus: line integrals, Green\'s theorem, surface integrals, Stokes\' theorem. Applications.
- Repeatability
- Credit given for only one of MATH-M 312 or MATH-S 312.

# MATH-M 413 Introduction to Analysis I

- Credits
- 3
- Prerequisites
- MATH-M 301, MATH-M 303, or MATH-S 303; and MATH-M 311 or MATH-S 311
- Description
- Modern theory of real number , limits, functions, sequences and series, Riemann-Stieltjes integral, and special topics.

# MATH-M 414 Introduction to Analysis II

- Credits
- 3
- Prerequisites
- MATH-M 413 or MATH-S 413
- Description
- Continuation of MATH-M 413. Functions of several variables, Taylor series, extreme values. Manifolds in Euclidean space, Implicit Function Theorem, Inverse Function Theorem. Divergence Theorem and other classical theorems of vector calculus. Special topics.
- Repeatability
- Credit given for only one of MATH-M 414 or MATH-S 414.

# MATH-M 415 Elementary Complex Variables with Applications

- Credits
- 3
- Prerequisites
- MATH-M 311, MATH-S 311, or consent of instructor
- Description
- Algebra and geometry of complex numbers, elementary functions of a complex variable, power series, integrations, calculus of residues, conformal mapping. Application to physics.
- Repeatability
- Credit given for only one of MATH-M 415 or MATH-S 415.

# MATH-S 312 Honors Course in Calculus IV

- Credits
- 3
- Prerequisites
- MATH-S 311 or consent of instructor
- Description
- For students with unusual aptitude and motivation.
- Repeatability
- Credit given for only one of MATH-M 312 or MATH-S 312.

# MATH-S 413 Honors Course in Analysis I

- Credits
- 3
- Prerequisites
- MATH-S 312; or consent of instructor
- Description
- Differentiable transformations defined on Euclidean space, inverse and implicit function theorems. Lebesgue integration over Euclidean space and transformation of integrals. Exterior algebra, measure and integration on manifolds. Stokes\' theorem. Closed and exact forms.

# MATH-S 414 Honors Course in Analysis II

- Credits
- 3
- Prerequisites
- MATH-S 413; or consent of instructor
- Description
- Differentiable transformations defined on Euclidean space, inverse and implicit function theorems. Lebesgue integration over Euclidean space and transformation of integrals. Exterior algebra, measure and integration on manifolds. Stokes\' theorem. Closed and exact forms.
- Repeatability
- Credit given for only one of MATH-S 414 or MATH-M 414.

# MATH-S 415 Honors Elementary Complex Variables

- Credits
- 3
- Prerequisites
- MATH-S 311; or consent of instructor
- Description
- For students with unusual aptitude and motivation. Algebra and geometry of complex numbers, elementary functions of a complex variable, power series, contour integrals, calculus of residues, conformal mapping.
- Repeatability
- Credit given for only one of MATH-M 415 or MATH-S 415.

# MATH-M 420 Metric Space Topology

- Credits
- 3
- Prerequisites
- MATH-M 301, MATH-M 303, or MATH-S 303
- Description
- Topology of Euclidean and metric spaces. Limits and continuity. Topological properties of metric spaces, including separation properties, connectedness, and compactness. Complete metric spaces. Elementary general topology.

- Applied Mathematics
- MATH-M 371 Elementary Computational Methods
- MATH-M 447 Mathematical Models and Applications I
- MATH-M 451 The Mathematics of Finance
- MATH-M 471 Numerical Analysis I
- MATH-M 472 Numerical Analysis II

# MATH-M 371 Elementary Computational Methods

- Credits
- 3
- Prerequisites
- MATH-M 212, MATH-M 213, or MATH-S 212
- Description
- Interpolation and approximation of functions, solution of equations, numerical integration and differentiation. Errors, convergence, and stability of the procedures. Students write and use programs applying numerical methods.

- Spring 2024CASE NMcourse

# MATH-M 447 Mathematical Models and Applications I

- Credits
- 3
- Prerequisites
- MATH-M 301, MATH-M 303, or MATH-S 303; and MATH-M 311 or MATH-S 311
- Notes
- P or C: MATH-M 365
- Description
- Formation and study of mathematical models used in the biological, social, and management sciences. Mathematical topics include games, graphs, Markov and Poisson processes, mathematical programming, queues, and equations of growth.

# MATH-M 451 The Mathematics of Finance

- Credits
- 3
- Prerequisites
- MATH-M 311 or MATH-S 311; and MATH-M 365 or MATH-M 463 or MATH-S 463
- Description
- Course covers probability theory, Brownian motion, Ito\'s Lemma, stochastic differential equations, and dynamic hedging. These topics are applied to the Black-Scholes formula, the pricing of financial derivatives, and the term theory of interest rates.

# MATH-M 471 Numerical Analysis I

- Credits
- 3
- Prerequisites
- MATH-M 301, MATH-M 303, or MATH-S 303; and MATH-M 311 or MATH-S 311; and MATH-M 343 or MATH-S 343
- Notes
- Knowledge of a computer language such as FORTRAN, C, C++, etc., is essential for success in this course. Students with other programming backgrounds should consult the instructor
- Description
- Interpolation and approximation of functions, numerical integration and differentiation, solution of nonlinear equations, acceleration and extrapolation, solution of systems of linear equations, eigenvalue problems, initial and boundary value problems for ordinary differential equations, and computer programs applying these numerical methods.

# MATH-M 472 Numerical Analysis II

- Credits
- 3
- Prerequisites
- MATH-M 301, MATH-M 303, or MATH-S 303; and MATH-M 311 or MATH-S 311; and MATH-M 343 or MATH-S 343
- Notes
- Knowledge of a computer language such as FORTRAN, C, C++, etc., is essential for success in this course. Students with other programming backgrounds should consult the instructor.
- Description
- Interpolation and approximation of functions, numerical integration and differentiation, solution of nonlinear equations, acceleration and extrapolation, solution of s of linear equations, eigenvalue problems, initial and boundary value problems for ordinary differential equations, and computer programs applying these numerical methods.

- Differential Equations
- MATH-M 343 Introduction to Differential Equations with Applications I
- MATH-M 344 Introduction to Differential Equations with Applications II
- MATH-M 441 Introduction to Partial Differential Equations with Applications I
- MATH-M 442 Introduction to Partial Differential Equations with Applications II
- MATH-S 343 Honors Course in Differential Equations
- MATH-S 344 Honors Course in Differential Equations II

# MATH-M 343 Introduction to Differential Equations with Applications I

- Credits
- 3
- Prerequisites
- MATH-M 212, MATH-M 213, or MATH-S 212
- Notes
- R: MATH-M 301, MATH-M 303, or MATH-S 303
- Description
- Ordinary differential equations and methods for their solution, including series methods and the Laplace transform. Applications of differential equations. s, stability, and numerical methods. Partial differential equations of mathematical physics, Fourier series.
- Repeatability
- Credit given for only one of MATH-M 343 or MATH-S 343.

- Spring 2024CASE NMcourse

# MATH-M 344 Introduction to Differential Equations with Applications II

- Credits
- 3
- Prerequisites
- One of MATH-M 301, MATH-M 303, or MATH-S 303; and MATH-M 343 or MATH-S 343
- Description
- Ordinary differential equations and methods for their solution, including series methods and the Laplace transform.Â Applications of differential equations.Â Systems, stability, and numerical methods.Â Partial differential equations of mathematical physics, Fourier series.

- Spring 2024CASE NMcourse

# MATH-M 441 Introduction to Partial Differential Equations with Applications I

- Credits
- 3
- Prerequisites
- MATH-M 301, MATH-M 303, or MATH-S 303; and MATH-M 311 or MATH-S 311; and MATH-M 343 or MATH-S 343
- Notes
- R: MATH-M 312 or MATH-S 312
- Description
- Derivation and methods of solution of classical partial differential equations of mathematical physics: heat, wave, and Laplace equations. Separation of variables, Fourier series, Sturm-Liouville theory, special functions, Green\'s functions, Fourier transform, first order equations, characteristics and special topics.

# MATH-M 442 Introduction to Partial Differential Equations with Applications II

- Credits
- 3
- Prerequisites
- MATH-M 441
- Description
- Derivation and methods of solution of classical partial differential equations of mathematical physics: heat, wave, and Laplace equations. Separation of variables, Fourier series, Sturm-Liouville theory, special functions, Green\'s functions, Fourier transform, first order equations, characteristics and special topics.

# MATH-S 343 Honors Course in Differential Equations

- Credits
- 3
- Prerequisites
- MATH-S 212 or consent of instructor
- Description
- Introduction, with historical examples, first order ordinary differential equations (ODEs) and applications, second order linear ODEs, linear ODEs of higher order, series solutions to linear ODEs, and numerical methods for ODEs. In addition, some theoretical aspects will be studied in detail such as the Picard existence/uniqueness theorem for initial-value problems, convergence of series solutions, and the matrix exponential exp(tA).

- Spring 2024CASE NMcourse

# MATH-S 344 Honors Course in Differential Equations II

- Credits
- 3
- Prerequisites
- MATH-M 212 or MATH-S 212; and MATH-M 301, MATH-M 303, or MATH-S 303; and MATH-S 343
- Description
- Covers the topics of MATH-M 344, in addition to more theoretical material, which may include topics such as the uniqueness theorem for the inversion of the Laplace transform, introduction to the theory of distributions, derivation of the heat and wave equations, eigenvalues of Sturm-Liouville boundary problems, and oscillation theory applied to special functions. Meets with MATH-M 344, and the additional material will be incorporated in weekly homework sets. Exams will include some of this additional material.
- Repeatability
- Credit given for only one of MATH-M 344 or MATH-S 344.

- Spring 2024CASE NMcourse

- Probability and Statistics
- MATH-M 463 Introduction to Probability Theory I
- MATH-M 464 Introduction to Probability Theory II
- MATH-S 463 Honors Course in Probability Theory I

# MATH-M 463 Introduction to Probability Theory I

- Credits
- 3
- Prerequisites
- MATH-M 301, MATH-M 303, or MATH-S 303; and MATH-M 311 or MATH-S 311
- Description
- The meaning of probability. Random experiments, conditional probability, independence. Random variables, expected values and standard deviations, moment generating functions. Important discrete and continuous distributions. Poisson processes. Multivariate distributions, basic limit laws such as the central limit theorem.
- Repeatability
- Credit given for only one of MATH-M 463 or MATH-S 463.

# MATH-M 464 Introduction to Probability Theory II

- Credits
- 3
- Prerequisites
- MATH-M 463 or MATH-S 463
- Description
- Conditional distributions and expectation, linear and nonlinear regression; simple stochastic processes: Poisson process, process with independent increments, random walk, Markov chain with finite state space; information theory.

# MATH-S 463 Honors Course in Probability Theory I

- Credits
- 3
- Prerequisites
- MATH-S 303 and MATH-S 311; or consent of instructor
- Description
- Honors version of MATH-M 463. For students of outstanding ability in mathematics.

- Analysis
**Mathematics Area 400–499 Level Requirement.**One (1) additional course:- Analysis 400-499
- MATH-M 413 Introduction to Analysis I
- MATH-M 414 Introduction to Analysis II
- MATH-S 413 Honors Course in Analysis I
- MATH-S 414 Honors Course in Analysis II
- MATH-S 415 Honors Elementary Complex Variables

# MATH-M 413 Introduction to Analysis I

- Credits
- 3
- Prerequisites
- MATH-M 301, MATH-M 303, or MATH-S 303; and MATH-M 311 or MATH-S 311
- Description
- Modern theory of real number , limits, functions, sequences and series, Riemann-Stieltjes integral, and special topics.

# MATH-M 414 Introduction to Analysis II

- Credits
- 3
- Prerequisites
- MATH-M 413 or MATH-S 413
- Description
- Continuation of MATH-M 413. Functions of several variables, Taylor series, extreme values. Manifolds in Euclidean space, Implicit Function Theorem, Inverse Function Theorem. Divergence Theorem and other classical theorems of vector calculus. Special topics.
- Repeatability
- Credit given for only one of MATH-M 414 or MATH-S 414.

# MATH-S 413 Honors Course in Analysis I

- Credits
- 3
- Prerequisites
- MATH-S 312; or consent of instructor
- Description
- Differentiable transformations defined on Euclidean space, inverse and implicit function theorems. Lebesgue integration over Euclidean space and transformation of integrals. Exterior algebra, measure and integration on manifolds. Stokes\' theorem. Closed and exact forms.

# MATH-S 414 Honors Course in Analysis II

- Credits
- 3
- Prerequisites
- MATH-S 413; or consent of instructor
- Description
- Repeatability
- Credit given for only one of MATH-S 414 or MATH-M 414.

# MATH-S 415 Honors Elementary Complex Variables

- Credits
- 3
- Prerequisites
- MATH-S 311; or consent of instructor
- Description
- For students with unusual aptitude and motivation. Algebra and geometry of complex numbers, elementary functions of a complex variable, power series, contour integrals, calculus of residues, conformal mapping.
- Repeatability
- Credit given for only one of MATH-M 415 or MATH-S 415.

- Applied Mathematics 400-499
- MATH-M 447 Mathematical Models and Applications I
- MATH-M 451 The Mathematics of Finance
- MATH-M 471 Numerical Analysis I
- MATH-M 472 Numerical Analysis II

# MATH-M 447 Mathematical Models and Applications I

- Credits
- 3
- Prerequisites
- MATH-M 301, MATH-M 303, or MATH-S 303; and MATH-M 311 or MATH-S 311
- Notes
- P or C: MATH-M 365
- Description
- Formation and study of mathematical models used in the biological, social, and management sciences. Mathematical topics include games, graphs, Markov and Poisson processes, mathematical programming, queues, and equations of growth.

# MATH-M 451 The Mathematics of Finance

- Credits
- 3
- Prerequisites
- MATH-M 311 or MATH-S 311; and MATH-M 365 or MATH-M 463 or MATH-S 463
- Description
- Course covers probability theory, Brownian motion, Ito\'s Lemma, stochastic differential equations, and dynamic hedging. These topics are applied to the Black-Scholes formula, the pricing of financial derivatives, and the term theory of interest rates.

# MATH-M 471 Numerical Analysis I

- Credits
- 3
- Prerequisites
- MATH-M 301, MATH-M 303, or MATH-S 303; and MATH-M 311 or MATH-S 311; and MATH-M 343 or MATH-S 343
- Notes
- Knowledge of a computer language such as FORTRAN, C, C++, etc., is essential for success in this course. Students with other programming backgrounds should consult the instructor
- Description
- Interpolation and approximation of functions, numerical integration and differentiation, solution of nonlinear equations, acceleration and extrapolation, solution of systems of linear equations, eigenvalue problems, initial and boundary value problems for ordinary differential equations, and computer programs applying these numerical methods.

# MATH-M 472 Numerical Analysis II

- Credits
- 3
- Prerequisites
- MATH-M 301, MATH-M 303, or MATH-S 303; and MATH-M 311 or MATH-S 311; and MATH-M 343 or MATH-S 343
- Notes
- Knowledge of a computer language such as FORTRAN, C, C++, etc., is essential for success in this course. Students with other programming backgrounds should consult the instructor.
- Description
- Interpolation and approximation of functions, numerical integration and differentiation, solution of nonlinear equations, acceleration and extrapolation, solution of s of linear equations, eigenvalue problems, initial and boundary value problems for ordinary differential equations, and computer programs applying these numerical methods.

- Differential Equations 400-499
- MATH-M 441 Introduction to Partial Differential Equations with Applications I
- MATH-M 442 Introduction to Partial Differential Equations with Applications II

# MATH-M 441 Introduction to Partial Differential Equations with Applications I

- Credits
- 3
- Prerequisites
- MATH-M 301, MATH-M 303, or MATH-S 303; and MATH-M 311 or MATH-S 311; and MATH-M 343 or MATH-S 343
- Notes
- R: MATH-M 312 or MATH-S 312
- Description
- Derivation and methods of solution of classical partial differential equations of mathematical physics: heat, wave, and Laplace equations. Separation of variables, Fourier series, Sturm-Liouville theory, special functions, Green\'s functions, Fourier transform, first order equations, characteristics and special topics.

# MATH-M 442 Introduction to Partial Differential Equations with Applications II

- Credits
- 3
- Prerequisites
- MATH-M 441
- Description

- Probability and Statistics 400-499
- MATH-M 463 Introduction to Probability Theory I
- MATH-M 464 Introduction to Probability Theory II
- MATH-S 463 Honors Course in Probability Theory I

# MATH-M 463 Introduction to Probability Theory I

- Credits
- 3
- Prerequisites
- MATH-M 301, MATH-M 303, or MATH-S 303; and MATH-M 311 or MATH-S 311
- Description
- The meaning of probability. Random experiments, conditional probability, independence. Random variables, expected values and standard deviations, moment generating functions. Important discrete and continuous distributions. Poisson processes. Multivariate distributions, basic limit laws such as the central limit theorem.
- Repeatability
- Credit given for only one of MATH-M 463 or MATH-S 463.

# MATH-M 464 Introduction to Probability Theory II

- Credits
- 3
- Prerequisites
- MATH-M 463 or MATH-S 463
- Description
- Conditional distributions and expectation, linear and nonlinear regression; simple stochastic processes: Poisson process, process with independent increments, random walk, Markov chain with finite state space; information theory.

# MATH-S 463 Honors Course in Probability Theory I

- Credits
- 3
- Prerequisites
- MATH-S 303 and MATH-S 311; or consent of instructor
- Description
- Honors version of MATH-M 463. For students of outstanding ability in mathematics.

- Other
- MATH-S 499 Reading for Honors (Departmental consent required)

# MATH-S 499 Reading for Honors

- Credits
- 1–12 credit hours
- Prerequisites
- Approval of departmental honors committee
- Description
- None
- Repeatability
- May be repeated for a maximum of 12 credit hours.

- Analysis 400-499

**Statistics.**One (1) course:- ECON-E 370 Statistical Analysis for Business and Economics
- ECON-S 370 Statistical Analysis for Business and Economics: Honors
- MATH-M 365 Introduction to Probability and Statistics

# ECON-E 370 Statistical Analysis for Business and Economics

- Credits
- 3
- Prerequisites
- MATH-M 118, MATH-S 118, or MATH-V 118
- Notes
- R: ECON-E 252 or ECON-B 252 and MATH-M 119
- Description
- Lectures emphasize the use of basic probability concepts and statistical theory in the estimation and testing of single parameter and multivariate relationships. In computer labs, using Microsoft Excel, each student calculates descriptive statistics, probabilities, and least squares regression coefficients in situations based on current business and economic events.
- Repeatability
- Credit given for only one of ANTH-A 306, CJUS-K 300, ECON-E 370, ECON-S 370, MATH-K 300, MATH-K 310, POLS-Y 395, PSY-K 300, PSY-K 310, SOC-S 371, SPEA-K 300, SPH-Q 381, STAT-K 310, STAT-S 300, STAT-S 301, or STAT-S 303.

- Spring 2024CASE NMcourse

# ECON-S 370 Statistical Analysis for Business and Economics: Honors

- Credits
- 3
- Prerequisites
- MATH-M 118, MATH-S 118, or MATH-V 118; and Hutton Honors student
- Notes
- R: MATH-M 119 and ECON-E 252 or ECON-B 252
- Description
- Honors course. Designed for students of superior ability. Covers same core material as ECON-E 370.
- Repeatability
- Credit given for only one of ANTH-A 306, CJUS-K 300, ECON-E 370, ECON-S 370, MATH-K 300, MATH-K 310, POLS-Y 395, PSY-K 300, PSY-K 310, SOC-S 371, SPEA-K 300, SPH-Q 381, STAT-K 310, STAT-S 300, STAT-S 301, or STAT-S 303.

- Spring 2024CASE NMcourse

# MATH-M 365 Introduction to Probability and Statistics

- Credits
- 3
- Prerequisites
- MATH-M 212, MATH-M 213, or MATH-S 212
- Description
- Elementary concepts of probability and statistics. Combinatorics, conditional probability, independence, random variables, discrete and continuous distributions, moments. Statistical inference, point estimation, confidence intervals, test of hypotheses. Applications to social, behavioral, and natural sciences.
- Repeatability
- Credit given for only one of MATH-M 360 or MATH-M 365.

- Spring 2024CASE NMcourse

**Major GPA, Hours, and Minimum Grade Requirements.****Major GPA.**A GPA of at least 2.000 for all courses taken in the major—including those where a grade lower than C- is earned—is required.**Major Minimum Grade.**Except for the GPA requirement, a grade of C- or higher is required for a course to count toward a requirement in the major.**Major Upper Division Credit Hours.**At least 18 credit hours in the major must be completed at the 300–499 level.**Major Residency.**At least 18 credit hours in the major must be completed in courses taken through the Indiana University Bloomington campus or an IU-administered or IU co-sponsored Overseas Study program.**College Breadth.**At least 38 credit hours must be completed in courses from College of Arts and Sciences disciplines outside of the major area.

##### Major Area Courses

Unless otherwise noted below, the following courses are considered in the academic program and will count toward academic program requirements as appropriate:

- Any course at the 100-499 level with the
`ECON or MATH`

subject area prefix--as well as any other subject areas that are deemed functionally equivalent - Any course contained on the course lists for the academic program requirements at the time the course is taken--as well as any other courses that are deemed functionally equivalent--except for those listed only under Addenda Requirements
- Any course directed to a non-Addenda requirement through an approved exception

The above courses cannot be applied toward the College Breadth requirement in the major.

##### Exclusions

The following courses cannot be applied toward major requirements or the College Breadth requirement:

- ECON-E 115 Everyday Economics
- ECON-E 203 Introduction to International Economics
- ECON-X 373 Internship in Economics
- MATH-D 116 Introduction to Finite Mathematics I
- MATH-D 117 Introduction to Finite Mathematics II
- MATH-E 201 Linear Algebra for Data Science
- MATH-E 265 Introduction to Probability and Statistics for Data Science
- MATH-E 449 Advanced Undergraduate Engineering Mathematical Methods
- MATH-J 110 Introductory Problem Solving
- MATH-J 111 Introduction to College Mathematics I
- MATH-J 112 Introduction to College Mathematics II
- MATH-J 113 Introduction to Calculus with Applications
- MATH-M 106 The Mathematics of Decision and Beauty
- MATH-M 118 Finite Mathematics
- MATH-M 125 Pre-Calculus Mathematics
- MATH-M 126 Trigonometric Functions
- MATH-M 127 Pre-Calculus with Trigonometry
- MATH-M 333
- MATH-S 118 Honors Finite Mathematics
- MATH-T 101 Mathematics for Elementary Teachers I
- MATH-T 103 Mathematics for Elementary Teachers III
- MATH-V 118 Finite Mathematics with Applications
- MATH-V 119 Applied Brief Calculus I
- MATH-X 170 Service Learning in Mathematics: Community Outreach

# ECON-E 115 Everyday Economics

- Credits
- 3
- Prerequisites
- None
- Notes
- Cannot be counted toward a major, interdepartmental major, or minor in economics
- Description
- Establishes the foundation necessary to achieve economic literacy by providing an introduction to economic concepts and institutions encountered in daily life: credit markets, inflation, interest rates, taxes, retirement savings, insurance, and the fundamental economic principles underlying these markets.

- Spring 2024CASE SHcourse

# ECON-E 203 Introduction to International Economics

- Credits
- 3
- Prerequisites
- ECON-B 251 or ECON-E 251
- Description
- Basic introduction to global economy with an emphasis on fundamentals of international trade: why and how nations trade; the cost and benefits of free trade; the basis for and implications of trade restrictions; international migration and capital flows; international economic institutions and agreements; foreign exchange.

- Spring 2024CASE SHcourse

# ECON-X 373 Internship in Economics

- Credits
- 1–3 credit hours
- Prerequisites
- Consent of department
- Notes
- Does not count toward a major or minor in economics
- Description
- Supervised work experience in an academic or business environment, including as a teaching assistant for undergraduate classes. Performance evaluation by a faculty mentor.
- Repeatability
- May be repeated for a maximum of 3 credit hours in ECON-X 373 and ECON-Y 398.
- Grading
- S/F grading.

# MATH-D 116 Introduction to Finite Mathematics I

- Credits
- 2
- Prerequisites
- Mastery of two years of high school algebra as indicated by an ALEKS score of 40 or higher; or MATH-M 014, MATH-M 018, or MATH-J 111.
- Description
- MATH-D 116 and MATH-D 117 is a two-course sequence that covers sets, counting, basic probability, including random variables and expected values, linear systems, matrices, linear programming, and applications.
- Repeatability
- Credit given for only one of MATH-A 118, MATH-M 118, MATH-S 118, MATH-V 118; or MATH-D 116 and MATH-D 117.

# MATH-D 117 Introduction to Finite Mathematics II

- Credits
- 2
- Prerequisites
- MATH-D 116 or consent of the department
- Notes
- MATH-D 116 and MATH-D 117 is a two-course sequence
- Description
- Topics for the course are taken from MATH-M 118. Credit for the College of Arts and Sciences Foundations requirement in Mathematical Modeling or the College's N&M Breadth of Inquiry requirement will be given only upon completion of both MATH-D 116 and MATH-D 117 with a passing grade.
- Repeatability
- Credit given for only one of MATH-A 118, MATH-M 118, MATH-S 118, MATH-V 118; or MATH-D 116 and MATH-D 117.

- Spring 2024CASE MMcourse

- Spring 2024CASE NMcourse

# MATH-E 201 Linear Algebra for Data Science

- Credits
- 3
- Prerequisites
- MATH-M 211 or MATH-S 211
- Description
- Introduces the basic theory and techniques of linear algebra, emphasizing the topics that have applications in data science.
- Repeatability
- Credit given for only one of MATH-E 201, MATH-M 301, or MATH-M 303.

# MATH-E 265 Introduction to Probability and Statistics for Data Science

- Credits
- 3
- Prerequisites
- MATH-M 211, CSCI-C 200, or CSCI-A 201
- Description
- Covers elementary concepts of probability and statistics for data science, including combinatorics, conditional probability, independence, random variables, discrete and continuous distributions, moments, statistical inference, point estimation, quantiles, confidence intervals, test of hypotheses, and related topics. Introduces the application of data analysis to the social and natural sciences.

# MATH-E 449 Advanced Undergraduate Engineering Mathematical Methods

- Credits
- 3
- Prerequisites
- MATH-M 343 or MATH-S 343
- Description
- Provides essential mathematical concepts and methods for solving problems encountered in many engineering fields. Topics selected from multivariable and vector calculus, coordinate transformations, infinite series, scaling and dimensional analysis, partial differential equations, integral transforms, linear algebra, discrete mathematics, and numerical methods.

# MATH-J 110 Introductory Problem Solving

- Credits
- 2
- Prerequisites
- Consent of department
- Notes
- Not counted toward any College of Arts and Sciences distribution requirement nor toward the College of Arts and Sciences fundamental skills requirement in mathematics
- Description
- Emphasizes problem solving and the development of logical reasoning skills. Topics include elementary logic, set theory, measurement of geometric figures, and translating English statements into algebraic equations.

# MATH-J 111 Introduction to College Mathematics I

- Credits
- 3
- Prerequisites
- None
- Notes
- R: To be successful, students will have been exposed to two years of high school algebra. For Groups students only
- Description
- A review of basic algebra.

# MATH-J 112 Introduction to College Mathematics II

- Credits
- 3
- Prerequisites
- MATH-J 111 with a grade of C- or higher; or consent of department
- Notes
- For Groups students only. Not counted toward any College of Arts and Sciences Breadth of Inquiry requirement or toward the College of Arts and Sciences Foundations requirement in Mathematical Modeling
- Description
- A continuation of MATH-J 111 that includes functions, exponential functions, and logarithmic functions.

# MATH-J 113 Introduction to Calculus with Applications

- Credits
- 3
- Prerequisites
- MATH-J 112 with a grade of C- or higher; or consent of department
- Notes
- For Groups students only. MATH-J 113 can count toward the College of Arts and Sciences Foundations requirement in mathematical modeling and the College of Arts and Sciences natural and mathematical sciences Breadth of Inquiry requirement for Groups studentsï»¿
- Description
- A survey of calculus.
- Repeatability
- Credit given for only one of MATH-J 113, MATH-M 119, MATH-V 119, MATH-M 211, or MATH-S 211.

- Spring 2024CASE MMcourse

- Spring 2024CASE NMcourse

# MATH-M 106 The Mathematics of Decision and Beauty

- Credits
- 3
- Prerequisites
- Mastery of two years of high school algebra as indicated by an ALEKS score of 35 or higher, or successful completion of MATH-M 014, MATH-M 018, or MATH-J 111.
- Description
- Mathematics of art (symmetry and perspective), music (scales, tuning and rhythm), and decision-making (voting, game theory, graph theory). Emphasis on conceptual and geometric modes of mathematical reasoning, with group- and activity-based learning in a smaller class format.

- Spring 2024CASE MMcourse

- Spring 2024CASE NMcourse

# MATH-M 118 Finite Mathematics

- Credits
- 3
- Prerequisites
- None
- Notes
- R: To be successful, students will demonstrate mastery of two years of high school algebra as indicated by an appropriate ALEKS score or completion of MATH-M 014, MATH-M 018, or MATH-J 111
- Description
- Sets, counting, basic probability, including random variables and expected values. Linear systems, matrices, linear programming, and applications.
- Repeatability
- Credit given for only one of MATH-A 118, MATH-M 118, MATH-S 118, MATH-V 118; or MATH-D 116 and MATH-D 117.

- Spring 2024CASE MMcourse

- Spring 2024CASE NMcourse

# MATH-M 125 Pre-Calculus Mathematics

- Credits
- 3
- Prerequisites
- None
- Notes
- R: To be successful, students will demonstrate mastery of two years of high school algebra and one year of high school geometry as indicated by an appropriate ALEKS score or completion of MATH-M 14.
- Description
- Algebraic operations; polynomial, exponential, and logarithmic, functions and their graphs; conic sections; systems of equations; and inequalities.
- Repeatability
- Credit given for only one of MATH-M 125 or MATH-M 025.

# MATH-M 126 Trigonometric Functions

- Credits
- 2
- Prerequisites
- None
- Description
- Designed to develop the properties of the trigonometric, exponential, and logarithmic functions and to prepare for course in calculus.

# MATH-M 127 Pre-Calculus with Trigonometry

- Credits
- 5
- Prerequisites
- None
- Notes
- R: To be successful, students will demonstrate mastery of two years of high school algebra and one year of high school geometry as indicated by an appropriate ALEKS score or completion of MATH-M 014
- Description
- This course is designed to prepare students for calculus. Subject matter includes polynomial, rational, exponential, logarithmic, and trigonometric functions and their application.
- Repeatability
- Credit given for only one of MATH-M 127 or MATH-M 027.

# MATH-S 118 Honors Finite Mathematics

- Credits
- 3
- Prerequisites
- Hutton Honors College membership
- Notes
- R: To be successful students will demonstrate mastery of two years of high school algebra as indicated by an appropriate ALEKS score or completion of MATH-M 014, MATH-M 018, or MATH-J 111
- Description
- Designed for students of outstanding ability in mathematics. Covers all material of MATH-M 118 and additional topics from statistics and game theory. Computers may be used in this course, but no previous experience is assumed.

- Spring 2024CASE MMcourse

- Spring 2024CASE NMcourse

# MATH-T 101 Mathematics for Elementary Teachers I

- Credits
- 3
- Prerequisites
- MATH-M 014, MATH-M 018, or a score of at least 35 on the Indiana University Bloomington ALEKS mathematics placement test
- Notes
- Only open to elementary education majors
- Description
- Elements of set theory, counting numbers. Operations on counting numbers, integers, rational numbers, and real numbers.

# MATH-T 103 Mathematics for Elementary Teachers III

- Credits
- 3
- Prerequisites
- EDUC-N 101 or MATH-T 101 with a grade of C or better; or consent of department
- Notes
- Only open to elementary education majors
- Description
- Descriptions and properties of basic geometric figures. Rigid motions. Axiomatics. Measurement, analytic geometry, and graphs of functions. Discussion of modern mathematics.

# MATH-V 118 Finite Mathematics with Applications

- Credits
- 3
- Prerequisites
- None
- Notes
- R: To be successful, students will demonstrate mastery of two years of high school algebra as indicated by an appropriate ALEKS score or completion of MATH-M 014, MATH-M 018, or MATH-J 111
- Description
- Sets, counting, basic probability, linear modelling, and other discrete topics. Applications to various areas depending on topic. Possibilities include social and biological sciences and consumer mathematics.
- Repeatability

- Spring 2024CASE NMcourse

# MATH-V 119 Applied Brief Calculus I

- Credits
- 3
- Prerequisites
- None
- Notes
- R: To be successful, students will demonstrate mastery of two years of high school algebra, one year of high school geometry, and pre-calculus as indicated by an appropriate ALEKS score or completion of MATH-M 025 or MATH-M 027
- Description
- Introduction to calculus. Variable topic course with emphasis on non-business topics and applications. The topic(s) will be listed in the Schedule of Classes each semester.
- Repeatability
- A student may receive credit for only one of the following: MATH-J 113, MATH-M 119, MATH-M 211, MATH-S 211, or MATH-V 119.

- Spring 2024CASE NMcourse

# MATH-X 170 Service Learning in Mathematics: Community Outreach

- Credits
- 1
- Prerequisites
- MATH-M 211, MATH-S 211, or consent of instructor
- Corequisites
- Current enrollment in another mathematics course
- Description
- Students will work within the community to foster interest, knowledge, and appreciation in mathematics. Assignments will include assisting with activities designed for primary and secondary school levels, documenting those activities in a parental guide, and suggesting related activities for children to pursue at home.
- Repeatability
- May be repeated for a maximum of 6 credit hours in MATH-X 170 and MATH-Y 201
- Grading
- S/F graded.

##### Restrictions

The following restrictions apply to the minimum credit hours required in the major:

- May be repeated for a maximum of 6 credit hours:
- MATH-X 170 Service Learning in Mathematics: Community Outreach
- MATH-Y 201

- May be repeated once with approval of Department of Mathematics for a maximum of 6 credit hours:
- MATH-X 373 Internship in Professional Practice
- MATH-Y 398

- May be repeated for a maximum of 12 credit hours:
- MATH-M 295
- MATH-X 390 Readings and Research

- Only 6 credit hours may be counted toward a major in economics:
- ECON-E 303 Survey of International Economics
- ECON-E 331 International Trade
- ECON-E 332 International Monetary Economics

- Only 6 credit hours may be counted toward a major in economics:
- ECON-E 308 Survey of Public Finance
- ECON-E 361 Public Finance: Government Spending
- ECON-E 362 Public Finance: Taxation

- Only 9 credit hours may be counted toward a major in economics:
- ECON-E 371 Introduction to Applied Econometrics
- ECON-S 371 Introduction to Applied Econometrics: Honors
- ECON-E 471 Econometric Theory and Practice I
- ECON-E 472 Econometric Theory and Practice II

This program of study cannot be combined with the following:

- Bachelor of Arts in Economics (ECONBA)
- Bachelor of Arts in Economics and Political Science (ECONPOLSBA)
- Bachelor of Arts in Mathematics (MATHBA)
- Bachelor of Arts in Mathematics and Economics (MATHECONBA)
- Bachelor of Arts in Political Science and Economics (POLSECONBA)
- Bachelor of Science in Economics and Quantitative Methods (ECONQMBS)
- Bachelor of Science in Mathematics (MATHBS)
- Bachelor of Science in Mathematics Program I (MATHBS1)
- Bachelor of Science in Mathematics Program II (MATHBS2)
- Interdepartmental Minor in Economics and Political Science (ECONPOLMIN)
- Interdepartmental Minor in Political Science and Economics (POLSECNMIN)
- Minor in Economics (ECONMIN)
- Minor in Mathematics (MATHMIN)
- [Discontinued credential name unavailable] (INTECONMIN)

The Bachelor of Arts degree requires at least 120 credit hours, to include the following:

**College of Arts and Sciences Credit Hours.**At least 100 credit hours must come from College of Arts and Sciences disciplines.**Upper Division Courses.**At least 42 credit hours (of the 120) must be at the 300–499 level.**College Residency.**Following completion of the 60th credit hour toward degree, at least 36 credit hours of College of Arts and Sciences coursework must be completed through the Indiana University Bloomington campus or an IU-administered or IU co-sponsored Overseas Study program.**College GPA.**A College grade point average (GPA) of at least 2.000 is required.**CASE Requirements.**The following College of Arts and Sciences Education (CASE) requirements must be completed:- CASE Foundations
- CASE Breadth of Inquiry
- CASE Culture Studies
- CASE Critical Approaches: 1 course
- CASE Foreign Language: Proficiency in a single foreign language through the second semester of the second year of college-level coursework
- CASE Intensive Writing: 1 course
- CASE Public Oral Communication: 1 course

**Major.**Completion of the major as outlined in the Major Requirements section above.

Most students must also successfully complete the Indiana University Bloomington General Education program.